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BL
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| Record Number
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1001793
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| Doc. No
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b756163
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| Main Entry
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Grabiner, Judith V.
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| Title & Author
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The origins of Cauchy's rigorous calculus /\ Judith V. Grabiner.
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| Publication Statement
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Mineola, N.Y. :: Dover Publications,, 2005.
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| Series Statement
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Dover Books on Mathematics
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| Page. NO
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1 online resource (252 pages)
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| ISBN
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0486143740
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: 9780486143743
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0486438155
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9780486438153
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| Notes
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Originally published: Cambridge, Mass. : MIT Press, ©1981.
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This Dover edition, originally published in 2005, is an unabridged republication of published by The MIT Press, Cambridge, Massachusetts, ©1981.
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| Bibliographies/Indexes
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Includes bibliographical references (pages 225-240) and index.
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| Contents
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Cover; Title Page; Copyright Page; Dedication; Contents; Preface; Abbreviations of Titles; Introduction; 1 Cauchy and the Nineteenth-Century Revolution in Calculus; 2 The Status of Foundations in Eighteenth-Century Calculus; 3 The Algebraic Background of Cauchy's New Analysis; 4 The Origins of the Basic Concepts of Cauchy's Analysis: Limit, Continuity, Convergence; 5 The Origins of Cauchy's Theory of the Derivative; 6 The Origins of Cauchy's Theory of the Definite Integral; Conclusion; Appendix: Translations from Cauchy's Oeuvres; Notes; References; Index.
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| Abstract
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This text for upper-level undergraduates and graduate students examines the events that led to a 19th-century intellectual revolution: the reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his peers. These intellectuals transformed the uses of calculus from problem-solving methods into a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
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| Subject
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Cauchy, Augustin Louis,1789-1857.
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Cauchy, Augustin Louis,1789-1857.
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Cauchy, David,(1970- ...)
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| Subject
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Calculus-- History.
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Calculus.
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| Subject
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MATHEMATICS-- History Philosophy.
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| Subject
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Mathématiques-- Histoire.
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| Dewey Classification
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515/.09
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| LC Classification
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QA303.G74 2005eb
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